TY - JOUR
ID - 2502
TI - $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Monfared, Hossein
AU - Azhini, Mahdi
AU - Asadi, Mehdi
AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
AD - Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
Y1 - 2017
PY - 2017
VL - 8
IS - 1
SP - 209
EP - 224
KW - Fixed point
KW - Partial metric space
KW - $M$-metric space
DO - 10.22075/ijnaa.2017.1636.1429
N2 - Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {\it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(\psi,\varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $\mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.
UR - https://ijnaa.semnan.ac.ir/article_2502.html
L1 - https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf
ER -